Perform the following steps:

a. state the hypotheses and identify the claim.
b. find the critical values
c. compute the test value
d. make the decision.
e. summarize the results.

The dean of students wants to see ehether there is a significant difference in ages of resident students and commuting students. She selects a sample of 50 students from each group. The ages are shown below.

Resident Students
22 25 27 23 26 28 26 24 25 20
26 24 27 26 18 19 18 30 26 18
18 19 32 23 19 19 18 29 19 22
18 22 26 19 19 21 23 18 20 18
22 21 19 21 21 22 18 20 19 23
Commuter Students
18 20 19 18 22 25 24 35 23 18
23 22 28 25 20 24 26 30 22 25
22 21 18 20 19 26 35 19 19 18
19 32 29 23 21 19 36 27 27 20
20 21 18 19 23 20 19 19 20 25

At a = 0.05, decide if there is enough evidence to reject the claim of no difference in the ages fo the two groups. Compute and use the standard deviations from the samples.